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  • Weakly ▫$P$▫-small not ▫$P$▫-small subsets in groups
    Banakh, Taras, 1968- ; Lyaskovska, Nadia
    Answering a question of Dikranjan and Protasov we prove that each infinite group ▫$G$▫ contains a weakly ▫$P$▫-small subset ▫$A \subset G$▫ which is not ▫$P$▫-small. This means that for every ▫$n$▫ ... there are ▫$n$▫ pairwise disjoint translation copies of ▫$A$▫ in ▫$G$▫ but there is no infinitely many such disjoint copies.
    Vrsta gradiva - članek, sestavni del
    Leto - 2008
    Jezik - angleški
    COBISS.SI-ID - 15189081